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Finding the Fourth Proportional to 467,009.56, 644,354.28 and 285,655.24

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Solution

The fourth proportional to 467,009.56, 644,354.28 and 285,655.24 is: 394,131.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,009.56 : 644,354.28 = 285,655.24 : x
  2. Step 2: Convert to fraction form
    467,009.56/644,354.28 = 285,655.24/x
  3. Step 3: Cross multiply
    467,009.56x = 644,354.28 × 285,655.24
  4. Step 4: Simplify right side
    467,009.56x = 184,063,176,498.43
  5. Step 5: Solve for x
    x = 184,063,176,498.43/467,009.56
  6. Step 6: Final answer
    x = 394,131.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.